Multiple problems: rotating, rigging
The "manipulate center point" setting is only useful when you have more than 1 object selected. 

If you have (eg) 2 cubes selected then without "manipulate center point" (lighter icon background), the two cubes rotate together as a group, as a whole single object. 

Enabling "manipulate center point" (darker icon background), the two cubes rotate individually around their group (ideal) center.

So, if you wish to rotate only 1 object, deselect that setting and try again.